cell_hex8.h

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// The libMesh Finite Element Library.
// Copyright (C) 2002-2026 Benjamin S. Kirk, John W. Peterson, Roy H. Stogner
 
// This library is free software; you can redistribute it and/or
// modify it under the terms of the GNU Lesser General Public
// License as published by the Free Software Foundation; either
// version 2.1 of the License, or (at your option) any later version.
 
// This library is distributed in the hope that it will be useful,
// but WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
// Lesser General Public License for more details.
 
// You should have received a copy of the GNU Lesser General Public
// License along with this library; if not, write to the Free Software
// Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA
 
 
 
#ifndef LIBMESH_CELL_HEX8_H
#define LIBMESH_CELL_HEX8_H
 
// Local includes
#include "libmesh/cell_hex.h"
 
namespace libMesh
{
 
class Hex8 final : public Hex
{
public:
 
  explicit
  Hex8 (Elem * p=nullptr) :
    Hex(num_nodes, p, _nodelinks_data)
  {}
 
  Hex8 (Hex8 &&) = delete;
  Hex8 (const Hex8 &) = delete;
  Hex8 & operator= (const Hex8 &) = delete;
  Hex8 & operator= (Hex8 &&) = delete;
  virtual ~Hex8() = default;
 
  virtual ElemType type () const override { return HEX8; }
 
  virtual unsigned int n_nodes() const override { return num_nodes; }
 
  virtual unsigned int n_sub_elem() const override { return 1; }
 
  virtual bool is_vertex(const unsigned int i) const override;
 
  virtual bool is_edge(const unsigned int i) const override;
 
  virtual bool is_face(const unsigned int i) const override;
 
  virtual bool is_node_on_side(const unsigned int n,
                               const unsigned int s) const override;
 
  virtual std::vector<unsigned int> nodes_on_side(const unsigned int s) const override;
 
  virtual std::vector<unsigned int> nodes_on_edge(const unsigned int e) const override;
 
  virtual bool is_node_on_edge(const unsigned int n,
                               const unsigned int e) const override;
 
  virtual bool has_affine_map () const override;
 
  virtual Order default_order() const override;
 
  virtual std::unique_ptr<Elem> build_side_ptr (const unsigned int i) override;
 
  virtual void build_side_ptr (std::unique_ptr<Elem> & elem,
                               const unsigned int i) override;
 
  // Avoid hiding deprecated version with different signature
  using Elem::build_side_ptr;
 
  virtual std::unique_ptr<Elem> build_edge_ptr (const unsigned int i) override;
 
  virtual void build_edge_ptr (std::unique_ptr<Elem> & edge, const unsigned int i) override;
 
  virtual void connectivity(const unsigned int sc,
                            const IOPackage iop,
                            std::vector<dof_id_type> & conn) const override;
 
  static const int num_nodes = 8;
  static const int nodes_per_side = 4;
  static const int nodes_per_edge = 2;
 
  static constexpr unsigned int side_nodes_map[num_sides][nodes_per_side] =
    {
      {0, 3, 2, 1}, // Side 0
      {0, 1, 5, 4}, // Side 1
      {1, 2, 6, 5}, // Side 2
      {2, 3, 7, 6}, // Side 3
      {3, 0, 4, 7}, // Side 4
      {4, 5, 6, 7}  // Side 5
    };
 
  static constexpr unsigned int edge_nodes_map[num_edges][nodes_per_edge] =
    {
      {0, 1}, // Edge 0
      {1, 2}, // Edge 1
      {2, 3}, // Edge 2
      {0, 3}, // Edge 3
      {0, 4}, // Edge 4
      {1, 5}, // Edge 5
      {2, 6}, // Edge 6
      {3, 7}, // Edge 7
      {4, 5}, // Edge 8
      {5, 6}, // Edge 9
      {6, 7}, // Edge 10
      {4, 7}  // Edge 11
    };
 
  static Point centroid_from_points(
    const Point & x0, const Point & x1, const Point & x2, const Point & x3,
    const Point & x4, const Point & x5, const Point & x6, const Point & x7);
 
  virtual Point true_centroid () const override;
 
  virtual Real volume () const override;
 
  virtual BoundingBox loose_bounding_box () const override;
 
  virtual void permute(unsigned int perm_num) override final;
 
  virtual void flip(BoundaryInfo *) override final;
 
  ElemType side_type (const unsigned int s) const override final;
 
  virtual Point side_vertex_average_normal(const unsigned int s) const override final;
 
protected:
 
  Node * _nodelinks_data[num_nodes];
 
 
 
#ifdef LIBMESH_ENABLE_AMR
 
  virtual Real embedding_matrix (const unsigned int i,
                                 const unsigned int j,
                                 const unsigned int k) const override
  { return _embedding_matrix[i][j][k]; }
 
  static const Real _embedding_matrix[num_children][num_nodes][num_nodes];
 
  LIBMESH_ENABLE_TOPOLOGY_CACHES;
 
#endif // LIBMESH_ENABLE_AMR
};
 
} // namespace libMesh
 
#endif // LIBMESH_CELL_HEX8_H